Expand and simplify (2x + 1)(x+4).
- (a)Expand and simplify (2x + 1)(x+4).[1]
- (b)Write 3⁄x + 4⁄(x+2) as a single fraction in its simplest form.[1]
- (c)Solve 10⁄x = x + 3.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [1] 2x² + 9x + 4
- [1] (7x+6)⁄(x(x+2)) final answer
- [3] 2 or -5
- [3] B2 for (x – 2)(x + 5)( = 0)
- [3] Or (-3±√49)⁄2
- [3] B1 for x² + 3x – 10 = 0 oe 3 term equation or x² + 3x - 10
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